You are at Mohegan Sun WATCHING the outcomes of the craps (dice game). On the first roll of the pair of dice, you win if you roll a 7 or 11. The 6-sided dice are fair (each die's outcome is equally likely with probability 1/6 for any number). You should assume independence between rolls. You will be rolling the dice 9 times. a) What is the probability of rolling a 7 or 11 on the first roll? b) What is the probability that 5 out of 9 rolls are 7 or 11? c) What is the probability that less than 6 out of 9 rolls are 7 or 11? d) What is the probability that at least 4 out of 9 rolls are 7 or 11? e) What is the probability that between (inclusive) 3 and 6 rolls are 7 or 11?

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